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Distributed memory matrix-vector multiplication and conjugate gradient algorithms

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2 Author(s)
Lewis, J.G. ; Boeing Comput. Services, Seattle, WA, USA ; Van De Geijn, R.A.

The critical bottlenecks in the implementation of the conjugate gradient algorithm on distributed memory computers are the communication requirements of the sparse matrix-vector multiply and of the vector recurrences. The data distribution and communication patterns of five general implementations whose realizations demonstrate that the cost of communication can be overcome to a much larger extent than is often assumed are described. The results also apply to more general settings for matrix-vector products, both sparse and dense.

Published in:

Supercomputing '93. Proceedings

Date of Conference:

15-19 Nov. 1993